脉动风速过程模拟的正交展开-随机函数方法  

Simulation of fluctuating wind processes with an orthogonal expansion-random function approach

作　　者：刘章军[1] 万勇[1] 曾波[1] 

机构地区：[1]三峡大学土木与建筑学院,湖北宜昌443002

出　　处：《振动与冲击》2014年第8期120-124,共5页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(51278282;50808113);三峡地区地质灾害与生态环境湖北省协同创新中心

摘　　要：在随机过程的正交展开基础上,采用随机函数的思想,提出了脉动风速随机过程模拟的正交展开-随机函数方法。通过将展开式中的一组标准正交随机变量表达为基本随机变量的正交函数形式,实现了用一个基本随机变量来表达原随机过程的目的。应用正交展开-随机函数方法,对脉动风速随机过程进行模拟分析。结果表明,在二阶数值统计意义上,仅需用一个基本随机变量即可对脉动风速随机过程进行精确模拟,进而体现了正交展开-随机函数方法的有效性和优越性。Based on the orthogonal expansion of stochastic processes,and the idea of random function,a hybrid orthogonal expansion-random function approach was proposed to simulate fluctuating wind.With this method,the standard orthogonal random variables in an orthogonal expansion formula were expressed into the orthogonal function form of a basic random variable to realize applying a basic random variable to express an original stochastic process.Utilizing the proposed approach,the simulation of fluctuating wind processes was perfomed.The results showed that the proposed approach can be used to accurately simulate the second-order statistics of fluctuating wind processes with only a basic random variable;the effectiveness and advantages of the orthogonal expansion-random function method are verified.

关 键 词：脉动风速 模拟 正交展开 随机函数 高斯过程 非高斯过程 

分 类 号：O324[理学—一般力学与力学基础] TU311.3[理学—力学]